If this is because of tuning stability issues after fitting the Trem then I suggest at looking at the nut first. Try some pencil graphite in the slots as a low-key ‘solution’. After that check whether the slots of the nut and bridge are smooth or rough. Another open door is stretching the strings appropriately. You do not necessarily ‘need’ a roller bridge with a trem to get some stability
Pictured above is my Studio Lite, with ‘standard’ Tune-o-matic. It has some supposedly low friction saddle, but for the love of it I don’t notice a difference over my LP Standard’s factory tune-o-matic. I could update on the specs later, got the boxes at home!
The little icon to the left of the smiley face, above where you type stuff in. Looks like a photo of some hills and the sun.
Click that, then click the little chain icon (Link) and paste the link in there.